On the Carath�odory?Fej�r Interpolation Problem for Generalized Schur Functions
Copyright policy )On the Carath�odory?Fej�r Interpolation Problem for Generalized Schur Functions
The solutions of the Carathéodory-Fejér interpolation problem for generalized Schur functions can be parameterized by a linear fractional transformation over the class of classical Schur functions. The linear fractional transformation of some of these functions may have a pole in one or more of the interpolation points or may not satisfy one or more interpolation conditions. So not all Schur functions can serve as a parameter value. This paper characterizes the excluded parameter values in terms of the related Pick matrix.
- William & Mary United States
\(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Pick matrix, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, Interpolation in approximation theory
\(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Pick matrix, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, Interpolation in approximation theory
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